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arxiv: nucl-th/0207058 · v1 · submitted 2002-07-17 · ⚛️ nucl-th

The Lambda-Lambda Interaction and ⁶_(Lambda Lambda)He

classification ⚛️ nucl-th
keywords lambdaexchangechannelscouplinginteractionmodelpotentialsigma
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An OBE potential model for the ^{1}S_0 S = -2 interaction is analyzed with emphasis on the role of coupling between the Lambda Lambda, N Xi, and Sigma Sigma channels. Singlet scalar exchange, an approximation to two-pion exchange, is significant in all channels; surprisingly, the one-pion exchange component is almost negligible. The size of the channel coupling as a function of the overall strength of the OBE model potential is examined. Implications of the analysis for the binding energy of ^{6}_{Lambda Lambda}He are considered; the new experimental datum may suggest a consistency between the extracted Lambda Lambda matrix element and the relation implied by SU(3) among OBE baryon-baryon interactions. \\

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